Acta mathematica scientia,Series B

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COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES

 WANG Mao-Fa, LIU Pei-De   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    This research is supported by the National Natural
    Science Foundation of China.

Abstract:

This paper studies the collective compactness of composition operator se-
quences between the Bergman and Hardy spaces. Some sufficient and necessary conditions
involving the generalized Nevanlinna counting functions for composition operator sequences
to be collectively compact between weighted Bergman spaces are given.

Key words: Bergman space, Hardy space, composition operator, collectively compact,operator sequence

CLC Number: 

  • 47B35
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